Lampson started on the Academy Great Lakes team and was a five-time Ohio South State Champion.

He appeared in 56 career matches for the Buckeyes, posting a school record 0.86 goals against average and 24 shutouts, which ranks second on OSU's all-time list.

Lampson additionally appeared in the Crew's friendly against Stoke City and started the U.S. Open Cup match against the Dayton Dutch Lions on May 29.

[6] In 2014, took part in the inaugural Chipotle MLS Homegrown Game, starting and featuring in the first half of a 0–0 draw against the Portland Timbers U-23s.

[9] Lampson appeared in the first nine matches of the season for the Men in Red, and set a club record shutout streak for 411 minutes from March 19 through April 16.

On November 8, Lampson was named 2018 MLS WORKS Humanitarian of the Year, becoming the only player in league history to win the award multiple times.

[citation needed] Lampson appeared in his first competitive match for the Galaxy on July 23 in the quarterfinal round of the Leagues Cup.

After the Galaxy and Club Tijuana finished regulation at 2-2, Lampson saved three penalty kicks in the ensuing shootout to propel his side into the semifinal round.

[14] On December 12, 2019, it was announced that Lampson would make his return to his hometown club, signing with Columbus Crew as a free agent.

The mission of The LampStrong Foundation is to provide financial, emotional and motivational support to cancer patients, survivors, and their families.

The LampStrong Foundation donated $20,000 to Lurie Children's, the funds of which will go towards the HOT (Hematology, Oncology, and Transplant) Healthy Living Initiative.